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Finding the Fourth Proportional to 8,144.56, 12,218.90 and 2,301.17

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Solution

The fourth proportional to 8,144.56, 12,218.90 and 2,301.17 is: 3,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.56 : 12,218.90 = 2,301.17 : x
  2. Step 2: Convert to fraction form
    8,144.56/12,218.90 = 2,301.17/x
  3. Step 3: Cross multiply
    8,144.56x = 12,218.90 × 2,301.17
  4. Step 4: Simplify right side
    8,144.56x = 28,117,766.11
  5. Step 5: Solve for x
    x = 28,117,766.11/8,144.56
  6. Step 6: Final answer
    x = 3,452.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.